Strain potential energy and efficiency question

In summary, the conversation discusses a problem involving a sphere being pushed against a rubber band catapult. The mass of the sphere is 0.1 kg and it is released with a force of 80N. The summary provides calculations for the strain potential energy and work done by the applied force. There is also a discussion about the speed of the sphere when released and the efficiency of the catapult, though there is uncertainty about how to calculate the efficiency without more information.
  • #1
Dongorgon
20
0

Homework Statement



A sphere of mass 0.1 kg is pushed against a rubber band catapult with a force of 80N, and released upwards.
Calculate:
A) The strain potential energy when stretched by 0.3m

B) The work done by the applied force

C) The speed of the sphere when released

D) The efficiency of the catapult:


The Attempt at a Solution



A)
E=1/2(80)(0.3)=12J

B)
WD=12J

C)
Considering the conservation of momentum:

1/2mv^2+(0.1)(0.3)g=12

Hence, |v|=15.3 m/s

D)
Truly unsure what to consider here or how to calculate this part?
I'm also unsure about the answer to C. Any help would be greatly appreciated here.
Thanks
 
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  • #2
Dongorgon said:
1/2mv^2+(0.1)(0.3)g=12
You've no basis for the gravitational PE term. The rubber was stretched by .3m, but that doesn't mean the sphere descended .3m in the process. If the catapult is very wide, it could have descended a lot more; at the other extreme, it may only have descended .15m.
Wrt part D, I've no idea either. You had to assume it's 100% efficient to answer part C. Are you sure there's no other info?
 

1. What is strain potential energy?

Strain potential energy is the amount of stored energy in an object that has been stretched or compressed due to mechanical stress.

2. How is strain potential energy calculated?

Strain potential energy is calculated by multiplying the force applied to an object by the distance the object is stretched or compressed.

3. What factors affect strain potential energy?

The factors that affect strain potential energy include the material properties of the object, the amount of force applied, and the amount of deformation or change in shape of the object.

4. What is the relationship between strain potential energy and efficiency?

The relationship between strain potential energy and efficiency is that a higher strain potential energy means more stored energy, which can lead to better efficiency in some systems. However, in other systems, too much strain potential energy can result in loss of efficiency due to increased friction and energy dissipation.

5. How can strain potential energy be utilized?

Strain potential energy can be utilized in various systems and devices, such as in springs, elastic materials, and mechanical actuators. It can also be converted into other forms of energy, such as electrical or thermal energy, through the use of appropriate mechanisms.

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